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Finding the Fourth Proportional to 6,658.51, 9,988.14 and 1,728.02

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Solution

The fourth proportional to 6,658.51, 9,988.14 and 1,728.02 is: 2,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.51 : 9,988.14 = 1,728.02 : x
  2. Step 2: Convert to fraction form
    6,658.51/9,988.14 = 1,728.02/x
  3. Step 3: Cross multiply
    6,658.51x = 9,988.14 × 1,728.02
  4. Step 4: Simplify right side
    6,658.51x = 17,259,680.71
  5. Step 5: Solve for x
    x = 17,259,680.71/6,658.51
  6. Step 6: Final answer
    x = 2,592.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.